Magnetic properties of anyonic systems in a normal phase

We apply the concept of fractional statistics to the two-dimensional conductors. The effective Lagrangian of an external magnetic field in anyon medium at finite temperature and density is presented. The diamagnetic response to the external field is studied at temperatures above Tc (i.e. in the normal phase) for various values of external parameters. Oscillations of both thermodynamic (the de Haas - van Alphen effect) and kinetic (the Shubnikov - de Haas effect) quantities are re-examined. Numerous peculiarities arise from the fact that anyon systems possess a non-zero ''statistical'' flux Φ (which is known to be a manifestation of the spontaneous parity breakdown). The cyclotron resonance is suggested as a direct test on possible parity violation (which is the key point of anyonics). The cyclotron mass dependences on external parameters reported in a series of experimental articles (H. Kublbeck and J.P. Kotthaus, Phys. Rev. Lett. 35, 1019 (1975); G. Abstreiter, J.P. Kotthaus, J.F. Koch and G. Dorda, Phys. Rev. B14, 2480 (1976)) may be attributed to an unusual behaviour or magnetic permeability in anyon medium. (author). 20 refs, 2 figs